Titlebook: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018; Selected Papers from Spencer J. Sherwin,David Moxey,Chris

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https://doi.org/10.1007/978-3-030-39647-3High-order methods; Partial differential equations; Spectral methods; Isogeometric methods; Discontinuou

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On the Order Reduction of Entropy Stable DGSEM for the Compressible Euler Equationsthat the choice of the numerical surface flux has an impact on the convergence order. Penalty type numerical fluxes with high dissipation in all waves, such as the LLF and the HLL flux, appear to affect the convergence order negatively for odd polynomial degrees ., in contrast to the entropy conserv

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A Review of Regular Decompositions of Vector Fields: Continuous, Discrete, and Structure-Preservingscrete counterparts of regular decompositions for spaces of low-order discrete differential forms on simplicial meshes. Essentially, all results for function spaces carry over, though local correction terms may be necessary. These discrete regular decompositions have become an important tool in fini